# 5 25 27 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 25   c = 27

Area: T = 59.29774493549
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 10.11991720527° = 10°7'9″ = 0.17766128699 rad
Angle ∠ B = β = 61.46596345151° = 61°27'35″ = 1.07326729794 rad
Angle ∠ C = γ = 108.4211193432° = 108°25'16″ = 1.89223068043 rad

Height: ha = 23.7198979742
Height: hb = 4.74437959484
Height: hc = 4.39224036559

Median: ma = 25.89988416729
Median: mb = 14.85876579581
Median: mc = 11.94878031453

Inradius: r = 2.08106122581
Circumradius: R = 14.22991111874

Vertex coordinates: A[27; 0] B[0; 0] C[2.38988888889; 4.39224036559]
Centroid: CG[9.79662962963; 1.4644134552]
Coordinates of the circumscribed circle: U[13.5; -4.49663991352]
Coordinates of the inscribed circle: I[3.5; 2.08106122581]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.8810827947° = 169°52'51″ = 0.17766128699 rad
∠ B' = β' = 118.5440365485° = 118°32'25″ = 1.07326729794 rad
∠ C' = γ' = 71.57988065678° = 71°34'44″ = 1.89223068043 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.